Received: from mout.gmx.net (mout.gmx.net [212.227.15.18]) by h1439878.stratoserver.net (8.14.2/8.14.2/Debian-2build1) with ESMTP id rA8LjFTC001565 for ; Fri, 8 Nov 2013 22:45:16 +0100 Received: from relay2.uni-heidelberg.de ([129.206.210.211]) by mx-ha.gmx.net (mxgmx002) with ESMTPS (Nemesis) id 0M4a2G-1VoqZl2xbA-00yjk6 for ; Fri, 08 Nov 2013 22:45:09 +0100 Received: from listserv.uni-heidelberg.de (listserv.uni-heidelberg.de [129.206.100.94]) by relay2.uni-heidelberg.de (8.13.8/8.13.8) with ESMTP id rA8LgIUu013187 (version=TLSv1/SSLv3 cipher=DHE-RSA-AES256-SHA bits=256 verify=NO); Fri, 8 Nov 2013 22:42:18 +0100 Received: from listserv.uni-heidelberg.de (listserv.uni-heidelberg.de [127.0.0.1]) by listserv.uni-heidelberg.de (8.13.8/8.13.8) with ESMTP id rA8LIMOI013520; Fri, 8 Nov 2013 22:42:17 +0100 Received: by LISTSERV.UNI-HEIDELBERG.DE (LISTSERV-TCP/IP release 16.0) with spool id 10527636 for LATEX-L@LISTSERV.UNI-HEIDELBERG.DE; Fri, 8 Nov 2013 22:42:17 +0100 Received: from relay.uni-heidelberg.de (relay.uni-heidelberg.de [129.206.100.212]) by listserv.uni-heidelberg.de (8.13.8/8.13.8) with ESMTP id rA8LgHoW018581 for ; Fri, 8 Nov 2013 22:42:17 +0100 Received: from smtp5.clear.net.nz (smtp5.clear.net.nz [203.97.33.68]) by relay.uni-heidelberg.de (8.14.1/8.14.1) with ESMTP id rA8Lg5s2014779 for ; Fri, 8 Nov 2013 22:42:09 +0100 Received: from mxin3-orange.clear.net.nz (lb2-srcnat.clear.net.nz [203.97.32.237]) by smtp5.clear.net.nz (CLEAR Net Mail) with ESMTP id <0MVY00EMXS9ZNE20@smtp5.clear.net.nz> for LATEX-L@listserv.uni-heidelberg.de; Sat, 09 Nov 2013 10:42:03 +1300 (NZDT) Received: from 218-101-96-244.dialup.clear.net.nz (HELO [127.0.0.1]) ([218.101.96.244]) by smtpin3.clear.net.nz with ESMTP; Sat, 09 Nov 2013 10:42:00 +1300 MIME-version: 1.0 Content-type: text/plain; charset=ISO-8859-7; format=flowed Content-transfer-encoding: 7bit X-Antivirus: avast! (VPS 131108-1, 09/11/2013), Outbound message X-Antivirus-Status: Clean References: <524E7349.4030306@clear.net.nz> <524F0DA5.4040106@morningstar2.co.uk> <5278AEAA.2020103@clear.net.nz> User-Agent: Mozilla/5.0 (Windows NT 6.0; rv:24.0) Gecko/20100101 Thunderbird/24.1.0 Message-ID: <527D5AA3.8050902@clear.net.nz> Date: Sat, 9 Nov 2013 10:41:55 +1300 Reply-To: Mailing list for the LaTeX3 project Sender: Mailing list for the LaTeX3 project From: Andrew Parsloe Subject: Re: Bug in l3fp for sines near 2pi To: LATEX-L@LISTSERV.UNI-HEIDELBERG.DE In-Reply-To: Precedence: list List-Help: , List-Unsubscribe: List-Subscribe: List-Owner: List-Archive: Envelope-To: X-GMX-Antispam: 0 (Mail was not recognized as spam); Detail=V3; X-GMX-Antivirus: 0 (no virus found) X-UI-Filterresults: notjunk:1;V01:K0:LuCmEacW4Sw=:cJh5DdfNUGOtbmMATPXFxSwRno kVUr+kf4laNnHSdWCM4c9ceZbgOK8o8jYM4wRrxJcNlHTr7NKJYU0F8eeTm2965Of98zGkkNx fAuPOdkf3u8H+SGA/puN6jIotV9HI81UEFQxDCO8luW9VBNtO+JXWetFftk13IYwmEIR5n6ZO 3fMvqW6KXBsd2LwgLwlRfU+gq2hO6PPZel0uc9fJ+rM06KeOCCDEj8nRXohJzBOpRItTpGAJ3 EvmuFNQJ+RA3eYfBPAUsVLZhqrDLyGcpoDISq+MadR/AS2f4IIFCrERaVZK+2uRkeC3yod7vf nvoipUFxve5/n7KBO2gknYPjOhMFzze2H6CFA1jaAnkLVSl2u7B8A7MzcOIR5riaFTT8ouKY9 GN/Mpn8wJ4ZztR2K5YFQvfGWk6xq16ySIEpjE8rJc6U+Cim+4a1e8ZEUnkRwv4fxd+jm+AoZk 5pVaJg66TMTAL/A1QhiDtBjBmVhzsD0QEM1P/kYAZSm5PfkKZvQ7CbSO262sUgk2tOR+DmLux NTAu3dv92QHzENFsRFmNLFJVTx9OW4YvZMRuQ8KyVzQtxDR2yUuQNMA9BH/zasIrNgkjDQa0c dswbUrJPAhcP+HnjIbfhsh1S3kC+TchZGBe9dv5LLC1FiOPNOdY1SzTtzlzH0FgC7NXPcP9AF q01+Jh2wHVJfVclM0uDqGLSrRvmaphCkrG9r4OkoQ7vafGh+rLLBsDDE4Fzsfajdfm5yrHFa8 S3iuUPPthfa3Vszbll4PnUUG0XYmhegPZErLbLH/Stq0PhSOwtvZGr9jUniUFk0Qh49g9LQmW XaZOV2JaEgpWHHNe8PPmGuaoDvTHM6LQH2plHrgV20LpwSxxcEwxTCDAwAINVjZrcNFOUTsvq tw01uKq6UCnKR1uT3SkC/jP/qZcjskHYZTxh4RZrMJfPQ3Oj6qujTDqU1I/LScNsd03T+gPYk R3enK327dTQs4bbDfmfMsVWMTqEN2j9hq1gAFYB29bHmBct496eL86MtfdlfMTMPoUppMY20n W7x+EXSY4d3cueRHIIITR+0QPc2jarb7NIUz8Q5+WHcbVxLJRomBVUk18eH9FjtLRVtbfqEBg IGOogKu67gi/qtOys1qs4TcL0vjQaUePwD0UHBG6dMjA4RfZZ73HU8ljz9lFJIpVtVKvvk3xN BZUvSm8PB1yZ4Hzsd1sk4RkWY8j3bQnUrvuPovYmqdxStB7w3nbE9aZPVpZ5C+OoJHumEHMjo 6HJX2PzWSbMGfiedfrAgga8UI6AzneO5tejU20+GE3EuHnnxGZkPICFNNsB1wxZn8IhN3DtWC xcwMJ/aertr6FGEzYbU4vafwEPLiAApOtE4uUOXffmUq2FUhkYiwNFEpEPLq6VX23I3NCWTka Gb2fMceTjP5/NeqQAVfMDkDCkiCKgwXFLL9vKcgbP2MwYXLZnX3N5NLJS+ZD/6JqmK8e9Jcu/ 8z0lNlMj92et2Ks479u9oeb8DRoGbw5PVc0GkatDOgaWO7OqGA0+X2phV51FDirc2tzjqCqFS acQHX0FwiiQZqj1gIjuFvUqRhk10EpX2Whcdk06CX X-UI-Loop:V01:2o0yKFNr8r8=:xLxkgjyqjeJtq4X/S80/tkdDWP4kwMJVaXtsJJBDp+s= Status: R X-Status: X-Keywords: X-UID: 7313 >> sind etc, and the inverse functions, are very welcome. (But as a student >> of hyperbolic geometry, I especially look forward to the hyperbolic >> functions and inverses!) > > Is this a jest, or would you actually use those functions? Hyperbolic > functions are not too hard, now that I have added a few tools to > manipulate extended precision numbers (basically, they're just a bunch > of sums and products on the result of the exponential function). > Their inverses are more tricky, and I can't promise them any time > soon. > > Regards, > Bruno > Half in jest -- and therefore half seriously. Of course I can easily form cosh, sinh etc out of exp but it would be nice to have them built-in. It would be good to check elaborate 'trigonometric' simplifications (does 'trigonometric' apply to hyperbolic functions?) at general values of variables rather than values specially chosen to ease the calculations. Andrew